What is the limit as x approaches sqrt(2) of 4-x^2 ?

The limit as x approaches sqrt(2) of 4-x^2 is 2

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limit as x approaches sqrt(2) of 4-x^2

x \to 2 lim (4 - x^{2})

2

Solution steps

x \to 2 lim (4 - x^{2})

Plug in the value

x = 2

= 4 - (2)^{2}

Simplify

4 - (2)^{2} : 2

= 2

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What is the limit as x approaches sqrt(2) of 4-x^2 ?
The limit as x approaches sqrt(2) of 4-x^2 is 2